Noncommutative wormholes and the energy conditions

TL;DR

This paper demonstrates that noncommutative geometry can prevent the violation of null and weak energy conditions in Lorentzian wormholes, offering a new approach to wormhole physics consistent with energy condition requirements.

Contribution

It introduces a noncommutative geometry framework for wormholes, showing that energy condition violations can be avoided and providing specific shape functions and equations of state.

Findings

Null and weak energy conditions are not violated in noncommutative wormholes.

Constructed shape function and equation of state for noncommutative wormholes.

Noncommutativity may resolve energy condition issues in wormhole physics.

Abstract

It is a very well known fact that the energy conditions concerning Lorentzian wormhole (WH) solutions of Einstein equations are violated. Consequently, attempts to avoid the violation of the energy conditions constitutes one of the main areas of research in WH physics. On the other hand, the current literature show us that noncommutativity is one of the candidates to understand the physics of the early Universe. In this letter we show that the null and weak energy conditions violations do not happen when the WH background geometry is a noncommutative one. We also construct the shape function and an equation of state for this noncommutative WH.